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Title:
Formalism for the solution of quadratic Hamiltonians with large cosine terms
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Abstract:
In this talk, I would consider quantum Hamiltonians of the form H=H0−U∑jcos(Cj) where H0 is a quadratic function of position and momentum variables {x1,p1,x2,p2,...} and the Cj's are linear in these variables. We allow H0 and Cj to be completely general with only two restrictions: we require that (1) the Cj's are linearly independent and (2) [Cj,Ck] is an integer multiple of 2πi for all j,k so that the different cosine terms commute with one another.
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